3729112330608 has 640 divisors, whose sum is σ = 13071163392000. Its totient is φ = 994220697600.

The previous prime is 3729112330597. The next prime is 3729112330729. The reversal of 3729112330608 is 8060332119273.

3729112330608 is a `hidden beast` number, since 3 + 7 + 2 + 9 + 1 + 1 + 2 + 3 + 30 + 608 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2727952741 + ... + 2727954107.

It is an arithmetic number, because the mean of its divisors is an integer number (20423692800).

Almost surely, 2^{3729112330608} is an apocalyptic number.

3729112330608 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3729112330608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535581696000).

3729112330608 is an abundant number, since it is smaller than the sum of its proper divisors (9342051061392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3729112330608 is a wasteful number, since it uses less digits than its factorization.

3729112330608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 3729112330608 in words is "three trillion, seven hundred twenty-nine billion, one hundred twelve million, three hundred thirty thousand, six hundred eight".